Question

If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is given by:

• A. $\frac{R^2}{M}$
• B. $\frac{M}{R^2}$
• C. $M{R}^2$
• D. $\frac{M}{R}$

Answer 1

The correct option is B $\frac{M}{R^2}$

Mass of Earth = M

Radius of Earth= R

$Gravitationalforce=\frac{G\times M1\times M2}{R^2}F=\frac{G\times M\times M2}{R^2}=\frac{G\times M}{R^2}\times M2=g\times M2\frac{g}{G}=\frac{M}{R^2}$